5/4: Difference between revisions
links simplified, template monzo introduced, interwiki de added |
switched to infobox interval |
||
| Line 1: | Line 1: | ||
{| | {{Infobox Interval | ||
| Icon = [[File:5_4_glyph.png|alt=5 4 glyph.png|113x123px|5 4 glyph.png]] <small><br/>JI Glyph</small> | |||
| Ratio = 5/4 | |||
| Monzo = -2 0 1 | |||
| Cents = 386.31371 | |||
| | | Name = just major third | ||
| Sound = jid_5_4_pluck_adu_dr220.mp3 | |||
}} | |||
386.31371 | |||
In [[Just Intonation]], '''5/4''' is the frequency ratio between the 5th and 4th harmonics. Measuring about 386.3[[cent|¢]], it is about 13.7¢ away from [[12edo]]'s major third of 400¢. It has a distinctive "sweet" sound, and has been described as more "laid back" than its 12edo counterpart. Providing a novel consonance after 3, it is the basis for [[5-limit]] harmony. It is distinguished from the [[Pythagorean]] major third of [[81/64]] by the syntonic comma of [[81/80]], which measures about 21.5¢. 81/64 and 5/4 are both just intonation "major thirds," 81/64 having a more active and discordant quality, 5/4 sounding more "restful". | In [[Just Intonation]], '''5/4''' is the frequency ratio between the 5th and 4th harmonics. Measuring about 386.3[[cent|¢]], it is about 13.7¢ away from [[12edo]]'s major third of 400¢. It has a distinctive "sweet" sound, and has been described as more "laid back" than its 12edo counterpart. Providing a novel consonance after 3, it is the basis for [[5-limit]] harmony. It is distinguished from the [[Pythagorean]] major third of [[81/64]] by the syntonic comma of [[81/80]], which measures about 21.5¢. 81/64 and 5/4 are both just intonation "major thirds," 81/64 having a more active and discordant quality, 5/4 sounding more "restful". | ||
Revision as of 14:48, 11 October 2018
| Interval information |
reduced,
reduced harmonic
[sound info]
In Just Intonation, 5/4 is the frequency ratio between the 5th and 4th harmonics. Measuring about 386.3¢, it is about 13.7¢ away from 12edo's major third of 400¢. It has a distinctive "sweet" sound, and has been described as more "laid back" than its 12edo counterpart. Providing a novel consonance after 3, it is the basis for 5-limit harmony. It is distinguished from the Pythagorean major third of 81/64 by the syntonic comma of 81/80, which measures about 21.5¢. 81/64 and 5/4 are both just intonation "major thirds," 81/64 having a more active and discordant quality, 5/4 sounding more "restful".
In the context of the harmonic series, 5/4 can be heard between the 4th and 5th member of the series, demonstrated here melodically in singing into a resonant udderbot (from the fundamental up to 5 and then noodling between 5 and 4).
5/4 converted to cents (¢): 1200 * log (5/4) / log (2) = 386.314...
5/4 the interval, like all intervals, refers to a relation between two pitches. It has been called the just major third to distinguish it from the other intervals in that neighborhood.
- See also Gallery of Just Intervals